Inequalities relating unitarily invariant norms and the numerical radius

DOI10.1080/03081088808817868zbMath0644.15018OpenAlexW1993707011MaRDI QIDQ3786577

Chi-Kwong Li, Charles R. Johnson

Publication date: 1988

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03081088808817868

zbMATH Keywords

Frobenius normnumerical radiusunitarily invariant normsspectral normbest possible inequalities

Mathematics Subject Classification ID

Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Miscellaneous inequalities involving matrices (15A45)

Related Items (10)

Unitarily invariant norms on operators ⋮ Some aspects of the theory of norms ⋮ Inequalities relating norms invariant under unitary similarities ⋮ Equality of higher numerical ranges of matrices and a conjecture of Kippenhahn on Hermitian pencils ⋮ A brief survey on the decomposable numerical range of matrices ⋮ Numerical ranges of cyclic shift matrices ⋮ C-numerical ranges andC-numerical radii ⋮ Some equality conditions with respect to the dual norm of the numerical radius^*† ⋮ Partial Smoothness of the Numerical Radius at Matrices Whose Fields of Values are Disks ⋮ Faces of the unit ball of a unitarily invariant norm

Cites Work

• On the numerical radius and its applications
• Computer generated numerical ranges and some resulting theorems
• On certain finite dimensional numerical ranges and numerical radii^†
• SYMMETRIC GAUGE FUNCTIONS AND UNITARILY INVARIANT NORMS
• Matrix Analysis
• Singular values and numerical radii
• On the Field of Values of a Square Matrix
• Inequalities: theory of majorization and its applications

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